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Finding the Third Proportional to 11.50 and 17.75

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Solution

The third proportional to 11.50 and 17.75 is: 27.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.50 : 17.75 = 17.75 : x
  2. Step 2: Convert to fraction form
    11.50/17.75 = 17.75/x
  3. Step 3: Cross multiply
    11.50x = 17.75 × 17.75
  4. Step 4: Simplify right side
    11.50x = 315.06
  5. Step 5: Solve for x
    x = 315.06/11.50
  6. Step 6: Final answer
    x = 27.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.